Search a number
-
+
146868206056 = 231113472731517
BaseRepresentation
bin1000100011001000000…
…1101111100111101000
3112001002111102220020021
42020302001233213220
54401241230043211
6151245331210224
713416350103445
oct2106201574750
9461074386207
10146868206056
1157317300aa0
1224569a46974
1310b077a1a50
14717387c9cc
153c48ba5771
hex223206f9e8

146868206056 has 64 divisors (see below), whose sum is σ = 330404417280. Its totient is φ = 60311873280.

The previous prime is 146868206053. The next prime is 146868206113. The reversal of 146868206056 is 650602868641.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 146868205994 and 146868206012.

It is not an unprimeable number, because it can be changed into a prime (146868206053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1311991 + ... + 1419526.

It is an arithmetic number, because the mean of its divisors is an integer number (5162569020).

Almost surely, 2146868206056 is an apocalyptic number.

It is an amenable number.

146868206056 is an abundant number, since it is smaller than the sum of its proper divisors (183536211224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146868206056 is a wasteful number, since it uses less digits than its factorization.

146868206056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731594 (or 2731590 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 146868206056 in words is "one hundred forty-six billion, eight hundred sixty-eight million, two hundred six thousand, fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 47 52 88 94 104 143 188 286 376 517 572 611 1034 1144 1222 2068 2444 4136 4888 6721 13442 26884 53768 2731517 5463034 10926068 21852136 30046687 35509721 60093374 71019442 120186748 128381299 142038884 240373496 256762598 284077768 390606931 513525196 781213862 1027050392 1412194289 1562427724 1668956887 2824388578 3124855448 3337913774 5648777156 6675827548 11297554312 13351655096 18358525757 36717051514 73434103028 146868206056